Identification
H-rated tires are rated for a maximum speed of 130 mph. The V rating is the next rating faster, and V-rated tires are good to 149 mph. Both H- and V-rated tires are considered to be performance-touring tires.
Considerations
To support running at higher speeds, V-rated tires will have a stiffer sidewall and slightly firmer ride than H-rated tires. For normal driving conditions the H-rated tire will provide a more comfortable ride and the V-rated should give slightly better handling.
The last line is true based on my personal experience in 10 gen corolla where I shifted from 195 65 15 advan dbs to 195 65 15 cc6s